sum rate optimization for coordinated multi-antenna base station systems

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12-Jun-14 1 Tadilo Endeshaw, Université Catholique de Louvain, Belgium (ICC 2011, Kyoto, Japan) Sum Rate Optimization for Coordinated Multi-antenna Base Station Systems Authors: Tadilo Endeshaw Bogale, e-mail: [email protected] Luc Vandendorpe, e-mail: [email protected]

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The full paper has been published in ICC 2011

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Page 1: Sum Rate Optimization for Coordinated Multi-antenna Base Station Systems

12-Jun-14 1 Tadilo Endeshaw, Université Catholique de Louvain, Belgium (ICC 2011, Kyoto, Japan)

Sum Rate Optimization for Coordinated Multi-antenna

Base Station Systems Authors: Tadilo Endeshaw Bogale, e-mail: [email protected] Luc Vandendorpe, e-mail: [email protected]

Page 2: Sum Rate Optimization for Coordinated Multi-antenna Base Station Systems

Presentation Outline

Coordinated BS System model

Problem of interest

Proposed iterative solutions

Simulation results

Conclusions

12-Jun-14 2 Tadilo Endeshaw, Université Catholique de Louvain, Belgium (ICC 2011, Kyoto, Japan)

Page 3: Sum Rate Optimization for Coordinated Multi-antenna Base Station Systems

12-Jun-14 Tadilo Endeshaw, Université Catholique de Louvain, Belgium (ICC 2011, Kyoto, Japan) 3

Multiuser Coordinated BS System model

Page 4: Sum Rate Optimization for Coordinated Multi-antenna Base Station Systems

Problem formulation

12-Jun-14 4 Tadilo Endeshaw, Université Catholique de Louvain, Belgium (ICC 2011, Kyoto, Japan)

Existing work: Solve this problem with a total BSs sum power constraint case (using uplink-downlink duality approach).

In this work: We solve this problem for an arbitrary power constraint (for example per BS-antenna power cons).

Page 5: Sum Rate Optimization for Coordinated Multi-antenna Base Station Systems

Proposed iterative solution

12-Jun-14 5 Tadilo Endeshaw, Université Catholique de Louvain, Belgium (ICC 2011, Kyoto, Japan)

Difficulty: The objective function is non-linear and non-

convex. Hence, the optimal/suboptimal solution is not trivial.

Technique: To linearlize the objective function so that the suboptimal solution can be obtained iteratively. To this end, by introducing new optimization variables, we reformulate the aforementioned problem to

Page 6: Sum Rate Optimization for Coordinated Multi-antenna Base Station Systems

12-Jun-14 6 Tadilo Endeshaw, Université Catholique de Louvain, Belgium (ICC 2011, Kyoto, Japan)

The key idea of this reformulation is to exploit

This fact can be verified using KKT optimality conditions.

Again, by employing the ideas of matrix fractional

minimization and the above technique for K=2 case, we reformulate the above problem as

Proposed iterative solution cont’d

Page 7: Sum Rate Optimization for Coordinated Multi-antenna Base Station Systems

12-Jun-14 7 Tadilo Endeshaw, Université Catholique de Louvain, Belgium (ICC 2011, Kyoto, Japan)

Proposed iterative solution cont’d

Page 8: Sum Rate Optimization for Coordinated Multi-antenna Base Station Systems

12-Jun-14 8 Tadilo Endeshaw, Université Catholique de Louvain, Belgium (ICC 2011, Kyoto, Japan)

Extension to other problems

Page 9: Sum Rate Optimization for Coordinated Multi-antenna Base Station Systems

Simulation results

12-Jun-14 9 Tadilo Endeshaw, Université Catholique de Louvain, Belgium (ICC 2011, Kyoto, Japan)

Page 10: Sum Rate Optimization for Coordinated Multi-antenna Base Station Systems

Simulation results cont’d

12-Jun-14 10 Tadilo Endeshaw, Université Catholique de Louvain, Belgium (ICC 2011, Kyoto, Japan)

Page 11: Sum Rate Optimization for Coordinated Multi-antenna Base Station Systems

Conclusions In this work, novel linear iterative algorithm is

proposed to solve sum rate maximization with arbitrary power constraint problem.

The proposed algorithm first reformulate the problem using our lemma and modified matrix fractional minimization approaches.

Then, the resulting problem is solved using phase rotation and GP approaches. For the total BS power constraint case, simulation results verify that the proposed algorithm achieves the same sum rate as that of the well known uplink-downlink MSE duality based approach.

We also show that our algorithm are able to solve the weighted sum MSE minimization problem with arbitrary power constraint.

12-Jun-14 11 Tadilo Endeshaw, Université Catholique de Louvain, Belgium (ICC 2011, Kyoto, Japan)

Page 12: Sum Rate Optimization for Coordinated Multi-antenna Base Station Systems

12-Jun-14 12 Tadilo Endeshaw, Université Catholique de Louvain, Belgium (ICC 2011, Kyoto, Japan)

Thank You